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RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3C in Chapter 3 - Factorization of Polynomials

Question 8 Factorization of Polynomials Exercise 3C

𝑥^2 − 22𝑥 + 120

Answer:

𝑥^2 − 22𝑥 + 120

We can further write it a

= 𝑥^2 − 10𝑥 − 12𝑥 + 120

By taking out the common terms

= x (x – 10) – 12 (x – 10)

So we get,

= (x – 12) (x – 10)

Video transcript
"hello everyone i am sumanjali math tutor from leader learning welcome to question and answer session given expression is x square minus 22 x plus 120 this is the expression and we need to express this expression in terms of factors okay so factorize this expression we need to factorize this expression okay so first of all the expression is in the form of a x square plus b x plus c this is the expression format and for that if we take the product of a and c okay a value will be 1 and c value will be 120 okay so the product will be 120 and the another set of factors for 120 are 10 12 okay so we can express minus 22 x okay we can express minus 22 x as minus 10x minus 12x okay we can express like this okay so in place of minus 22x i'm writing minus 10x minus 12x okay plus 120 so from the first two terms i'm taking common x so that x minus 10 will remain and from the second two terms i'm taking minus 12 as common so that x minus 10 will reminds as 12 tens are 120 okay so i'm again taking common x minus 10 so that x minus 12 will reminds so we can express the given expression x square minus 22 x plus 120 as a product of x minus 10 into x minus 12 okay so this is the answer hope you understand if you have further questions reach us at comment section and subscribe to the channel leader learning for further queries thank you"
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